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QuizMultiple Choice

Limits as They Relate to Sequences and Series — Quiz

Question 1 • Precalculus

Consider the sequence 3 halves comma 4 thirds comma 5 fourths comma 6 fifths comma dot dot dot Which statement describes the sequence?

Answer
A
The sequence converges to infinity .
B
The sequence converges to 1 .
C
The sequence diverges.
D
The sequence converges to 0 .

Explanation

The terms follow the pattern \((n+2)/(n+1)\"), which can be rewritten as \(1+1/(n+1)\). As the term number \(n\) increases, \(1/(n+1)\) approaches 0, so the sequence approaches 1. Therefore, the sequence converges to 1.

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